Title
Quasi-independence models with rational maximum likelihood estimator
Abstract
We classify the two-way quasi-independence models (independence models with structural zeros) that have rational maximum likelihood estimators, or MLEs. We give a necessary and sufficient condition on the bipartite graph associated to the model for the MLE to be rational. In this case, we give an explicit formula for the MLE in terms of combinatorial features of this graph. We also use the Horn uniformization to show that for general log-linear models M with rational MLE, any model obtained by restricting to a face of the cone of sufficient statistics of M also has rational MLE.
Year
DOI
Venue
2021
10.1016/j.jsc.2020.10.006
Journal of Symbolic Computation
Keywords
DocType
Volume
Algebraic statistics,Maximum likelihood estimation,Quasi-independence models,Log-linear models,Maximum likelihood degree
Journal
104
ISSN
Citations 
PageRank 
0747-7171
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Coons Jane Ivy100.34
Seth Sullivant29319.17